Answer:
Original loan = $16,344.91
Explanation:
No of monthly payments remaining at the end of 8 years = 12* 12 = 144
Monthly rate= 6%/12 = 0.5% = 0.005
Loan balance at the end of year 8 = Present value of remaining 144 monthly payments
Present value of annuity = Annuity amount * {1-(1+r)^-n}/r
$12,000 = Monthly payment * (1-1.005-144)/0.005
$12,000 = Monthly payment * 102.47474
Monthly payments = $12,000/102.47474
Monthly payments = $117.10
Original loan = Present value of 240(20 years *12) monthly payments
Original loan = $117.10*(1-1.005^-240)/0.005
Original loan = $16,344.91
